A:
Area: 289 m
Perimeter: 51 m
B:
Area: 4 m
Perimeter: 8 m
Step-by-step explanation:
![\sqrt[8]{ {x}^{2} {y}^{6} } \\ \\ = ( {x}^{2} {y}^{6} )^{ \frac{1}{8} } \\ \\ = {x}^{2 \times \frac{1}{8}} {y}^{6\times \frac{1}{8}} \\ \\ = x^{\frac{1}{4}} {y}^{3\times \frac{1}{4}} \\ \\ = x^{\frac{1}{4}} {y}^{\frac{3}{4}} \\ \\ = \sqrt[4]{x {y}^{3} } \\](https://tex.z-dn.net/?f=%20%5Csqrt%5B8%5D%7B%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B6%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%28%20%7Bx%7D%5E%7B2%7D%20%7By%7D%5E%7B6%7D%20%20%29%5E%7B%20%5Cfrac%7B1%7D%7B8%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%7Bx%7D%5E%7B2%20%5Ctimes%20%5Cfrac%7B1%7D%7B8%7D%7D%20%7By%7D%5E%7B6%5Ctimes%20%5Cfrac%7B1%7D%7B8%7D%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%7By%7D%5E%7B3%5Ctimes%20%5Cfrac%7B1%7D%7B4%7D%7D%20%20%5C%5C%20%20%5C%5C%20%20%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%7By%7D%5E%7B%5Cfrac%7B3%7D%7B4%7D%7D%20%20%5C%5C%20%20%5C%5C%20%20%20%3D%20%20%5Csqrt%5B4%5D%7Bx%20%7By%7D%5E%7B3%7D%20%7D%20%20%5C%5C%20)
Answer:
16 in × 20 in
Step-by-step explanation:
- Finding the % of the picture that can fit in 16×20 frame
Area of picture= length by width
=4*6=24 in²
Area of frame=Length by width
=16*20=320 in²
% of the picture in the frame will be
(24/320) * 100% =7.5%
2. Finding the % of the picture that can fit in 18 × 24 frame
Area of picture=24 in²
Area of frame =Length by width
=18*24=432 in²
% of the picture in the frame will be;
(24/432)*100%=5.6%
The frame 16 by 20 in will keep 7.5% of the original picture
The frame 18 by 24 in will keep 5.6% of the original picture
Hence you should use the frame of 16 by 20 in because it will keep more of the original picture.
Answer:
10 Square Inches
Step-by-step explanation:
<u>Trapezoid</u>
Base =12 inches
Height =10 inches
Top side= 10 inches.
Area of a Trapezoid
Area of the Trapezoid=110 Square Inches
<u>Rectangle</u>
Base = 12 inches
Height =10 inches.
Area of a Rectangle=Base X Height
=12 X 10
=120 Square Inches
<u>Difference in Area between the two packages</u>
Difference=Area of Rectangle-Area of Trapezoid
=120-110
=10 Square Inches
